Wormholes in $R^2$-gravity within the $f(R,T)$ formalism

Abstract

We propose, as a novelty in the literature, the modelling of wormholes within the particular case of the $f(R,T)$ gravity, namely $f(R,T)=R+\alpha R^2+\lambda T$, with $R$ and $T$ being the Ricci scalar and trace of the energy-momentum tensor, respectively, while $\alpha$ and $\lambda$ are constants. Although such a functional form application can be found in the literature, those concern to compact astrophysical objects, such that no wormhole analysis has been done so far. The quadratic geometric and linear material corrections of this theory make the matter content of the wormhole to remarkably be able to obey the energy conditions.

Published version

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• Stability analysis of f(Q) gravity models using dynamical systems
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• A Complete Cosmological Scenario in Teleparallel Gravity
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• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
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• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity
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• Investigating Evolving Wormholes in $f(R,T)$ Gravity
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Qualitative behaviour of higher-curvature gravity with boundary terms i.e the f(Q) gravity models by dynamical system analysis
• Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
• Wormhole Solutions and Pre-inflationary Epoch in $F(R,T)$ Gravity with Axion Fields